Multi-level structured surface for anti-glare application and associated methods
Abstract
Described are display articles comprising a diffractive surface region formed in a major surface thereof. Within the diffractive surface region, the major surface comprises a plurality of regions disposed at a discrete distribution of heights measured relative to an imaginary base plane extending through the display article. The plurality of regions are arranged such that a specular reflectance of light incident on the first major surface within a wavelength range of interest [λ min , λ max ] at angles of incidence on the major surface in a range [θ min , θ max ] is reduced by at least a factor of 10 as compared to an untextured version of the first major surface not including the diffractive surface region. Differences between heights in the discrete distribution of heights are within 5% of integer multiples of Formula (I), where Formula (II), and Formula (III).
Claims
exact text as granted — not AI-modified1 . A display article comprising:
a first major surface: a second major surface opposing the first major surface; and a diffractive surface region formed in the first major surface, wherein, within the diffractive surface region, the first major surface comprises a plurality of regions disposed at a discrete distribution of heights measured relative to an imaginary base plane extending through the display article and parallel to the first major surface, wherein:
the plurality of regions are arranged such that a specular reflectance of light incident on the first major surface within a wavelength range of interest greater than or equal to a minimum wavelength λ min and less than or equal to a maximum wavelength λ max at angles of incidence on the first major surface ranging from a minimum angle of incidence θ min to a maximum angle of incidence θ max is reduced by at least a factor of 10 as compared to an untextured version of the first major surface not including the diffractive surface region, and
differences between heights in the discrete distribution of heights are within 5% of integer multiples of λ /4, where
λ
¯
=
(
λ
min
′
-
1
+
λ
max
′
-
1
2
)
-
1
,
λ′ min =λ min /cos θ min , and λ′ max =λ max /cos θ max .
2 . The display article of claim 1 , wherein the diffractive surface region scatters the light in a far-field scattering pattern with a peak scattering angle that is less than or equal to 1.5° over the wavelength range of interest.
3 . The display article of claim 2 , wherein the peak scattering angle is less than or equal to 0.5° over at least a portion of the wavelength range of interest.
4 . The display article of claim 2 , wherein the far-field scattering pattern approximates a Laguerre-Gaussian mode.
5 . The display article of claim 1 , wherein:
λ min is greater than or equal to 380 nm and λ max is less than or equal to 1200 nm, and θ min is greater than or equal to 0° and θ max is less than or equal to 75°.
6 . The display article of claim 1 , wherein λ min =400 nm and λ max =800 nm.
7 . The display article of claim 1 , wherein the specular reflectance is reduced by at least a factor of 100 as compared to the untextured version of the first major surface.
8 . The display article of claim 1 , wherein the plurality of regions have a minimum feature size that is greater than or equal to 1 μm.
9 . The display article of claim 1 , wherein the plurality of regions are arranged in a pattern that is periodic in two directions that are perpendicular to one another.
10 . The display article of claim 9 , wherein the pattern comprises at least one surrounded region that is completely surrounded by regions having different heights relative to the imaginary base plane than the surrounded region.
11 . The display article of claim 1 , wherein a transmitted haze of the light incident on the first major surface is less than or equal to 4% throughout an entirety of a wavelength range from 400 nm to 800 nm.
12 . The display article of claim 1 , wherein the regions of the plurality of regions at each height of the discrete distribution of heights occupy a combined surface area percentage of the diffractive surface region that is predetermined to minimize the specular reflectance.
13 . The display article of claim 12 , wherein the discrete distribution of heights comprises three or more heights, wherein the discrete distribution of heights comprises at least four heights, thet least four heights comprising a minimum height h min , a second height within 5% of h min + λ /4, a third height within 5% of h min + λ /2, and a fourth height within 5% of h min +3 λ /4, wherein:
a first plurality of regions having the minimum height occupy a first combined surface area percentage of the diffractive surface region, and the first combined surface area percentage is less than a second combined surface area percentage occupied by a second plurality of regions having the second height a third plurality of regions having the third height occupy a third combined surface area percentage of the diffractive surface region, a fourth plurality of regions having the fourth height occupy a fourth combined surface area percentage of the diffractive surface region, the first combined surface area percentage is within 5% of the fourth combined surface area percentage, the second combined surface area percentage is within 5% of the third combined surface area percentage, and the combined surface area percentage associated with each height is less than or equal to 40%.
14 . (canceled)
15 . (canceled)
16 . (canceled)
17 . (canceled)
18 . A glass display article comprising:
a first major surface; a second major surface opposing the first major surface; and a diffractive surface region formed in the first major surface, wherein, within the diffractive surface region, the first major surface comprises:
a first plurality of regions comprising a first plurality of heights that are within 5% of an average of the first plurality of heights at a maximum height h max measured from an imaginary base plane extending through the display article and parallel to the first major surface, the first plurality of regions occupying a first combined surface area percentage of the diffractive surface region; and
a second plurality of regions comprising a second plurality of heights that are within 5% of an average of the second plurality of heights at a minimum height h min measured from the imaginary base plane, the second plurality of regions occupying a second combined surface area percentage of the diffractive surface region, wherein:
the first plurality of regions and the second plurality of regions are arranged in a predetermined pattern based on a predicted specular reflectance of light incident on the first major surface within a wavelength range of interest greater than or equal to a minimum wavelength λ min and less than or equal to a maximum wavelength λ max at angles of incidence on the first major surface ranging from a minimum angle of incidence θ min to a maximum angle of incidence θ max ,
h max −h min is within 5% of an integer multiple of λ /4, where
λ
¯
=
(
λ
min
′
-
1
+
λ
max
′
-
1
2
)
-
1
,
λ′ min =λ min /cos θ min , and λ′ max =λ max /cos θ max , and
an average measured specular reflectance of the first major surface is less than or equal to 2.5% over the wavelength range of interest within the angles of incidence.
19 . The glass display article of claim 18 , wherein diffractive surface region scatters the light in a far-field scattering pattern with a peak scattering angle that is less than or equal to 1.5° over the wavelength range of interest.
20 . (canceled)
21 . (canceled)
22 . The glass display article of claim 18 , wherein:
λ min is greater than or equal to 380 nm and λ max is less than or equal to 1200 nm, and θ min is greater than or equal to 0° and θ max is less than or equal to 75°.
23 . (canceled)
24 . (canceled)
25 . (canceled)
26 . (canceled)
27 . (canceled)
28 . (canceled)
29 . (canceled)
30 . (canceled)
31 . A method of forming a diffractive surface region of a substrate for a display article, the method comprising:
determining a pattern for a plurality of regions on a first major surface of the substrate, wherein each region of the plurality of regions comprises a surface area disposed at a height measured relative to an imaginary base plane extending through the display article and parallel to the first major surface, wherein the plurality of regions comprises a discrete distribution of heights; disposing one or more etching masks on the first major surface that allow etching only on select regions of the first major surface for forming at least some of the plurality of regions; and after each etching mask of the one or more etching mask is disposed on the first major surface, contacting the display article with an etchant for a period of time so as form the plurality of regions comprising the discrete distribution of heights in the substrate, such that differences between the heights in the discrete distribution of heights are within 5% of integer multiples of λ /4, where
λ
¯
=
(
λ
min
′
-
1
+
λ
max
′
-
1
2
)
-
1
,
λ min is a minimum wavelength of a wavelength range of interest, λ max is a maximum wavelength over the wavelength range of interest, [θ min , θ max ] defines a range of angles of incidence over which it is desired to minimize specular reflectance of the display article, λ′ min =λ max cos λ min , and λ′ max =λ min cos θ max .
32 . The method according to claim 31 , wherein determining the pattern for the plurality of regions comprises determining an ideal combined surface area percentage for each height in the discrete distribution of heights using the following relation
FA= 1, where A is a vector having N entries, with N corresponding to a number of heights in the discrete distribution of heights, 1 is a unity column vector with N entries, and F is an N×N matrix, with each value F ij being computed as
F
ij
=
∫
k
min
′
k
max
′
dk
k
cos
(
k
·
λ
¯
(
i
-
j
)
2
)
.
33 . The method of claim 32 , wherein determining the pattern for the plurality of regions comprises:
generating an initial pattern for the plurality of regions; calculating an estimated far-field scattering pattern ü(λ) by approximating incoming light as a uniform field and the diffractive surface region as only inducing a phase shift in reflected light; and updating the initial pattern to reduce a difference between ü(λ) and a target scatting pattern u(λ) using an optimization algorithm.
34 . (canceled)
35 . (canceled)
36 . (canceled)
37 . (canceled)
38 . The method of any of claims 31 - 37 , wherein the one or more etching masks comprises at least two etching masks such that the discrete distribution of heights comprises at least 4 heights.
39 . (canceled)
40 . (canceled)
41 . The method of claim 31 , wherein the pattern is periodic in at least two directions that are perpendicular to one another.Join the waitlist — get patent alerts
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